I think I have a bad habit with my right hand. I have noticed that I use the piper’s grip at times and the classical grip, sometimes during the same song. No one does this, right?
You do. 
Arbo
bit of a stretch, innit
I don’t think that switching back and forth would cause yer hand ta fall off! 
As long as it doesn’t make me grow hair on my palms.
You can shave in the summer, and keep yer hands warm in winter.
Arbo
yup! it’s all good, eh
I don’t know about “no one”, but I think Musashi would have something to say about that. From The Book of Five Ferrules:
“● Grip the flute with a rather floating feeling in your thumb and fingers…It is bad to have play in your hands.
● When you take up a flute, you must feel intent on playing the tune. As you play a tune you must not change your grip, and your hands must not ‘cower’…Above all, you must be intent on playing the tune in the way you grip the flute.
● The grip for performance and for testing flutes is the same. There is no such thing as a ‘reel-playing grip’.”
– Notice that he doesn’t make a preference of one grip over the other. What he does here is urge consistency. 
one fact, two judgements
consider the terrain
one treads on sand
differently
to the tussocky hill
yet on the same walk
bugged by the same probs